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Intuitionistic fuzzy optimization technique for Pareto optimal solution of manufacturing inventory models with shortages

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  • Chakrabortty, Susovan
  • Pal, Madhumangal
  • Nayak, Prasun Kumar

Abstract

This paper discusses a manufacturing inventory model with shortages where carrying cost, shortage cost, setup cost and demand quantity are considered as fuzzy numbers. The fuzzy parameters are transformed into corresponding interval numbers and then the interval objective function has been transformed into a classical multi-objective EPQ (economic production quantity) problem. To minimize the interval objective function, the order relation that represents the decision maker’s preference between interval objective functions has been defined by the right limit, left limit, center and half width of an interval. Finally, the transformed problem has been solved by intuitionistic fuzzy programming technique. The proposed method is illustrated with a numerical example and Pareto optimality test has been applied as well.

Suggested Citation

  • Chakrabortty, Susovan & Pal, Madhumangal & Nayak, Prasun Kumar, 2013. "Intuitionistic fuzzy optimization technique for Pareto optimal solution of manufacturing inventory models with shortages," European Journal of Operational Research, Elsevier, vol. 228(2), pages 381-387.
    • Handle: RePEc:eee:ejores:v:228:y:2013:i:2:p:381-387
    DOI: 10.1016/j.ejor.2013.01.046
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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Ouyang, Liang-Yuh & Chang, Hung-Chi, 2002. "A minimax distribution free procedure for mixed inventory models involving variable lead time with fuzzy lost sales," International Journal of Production Economics, Elsevier, vol. 76(1), pages 1-12, March.
    3. Ishibuchi, Hisao & Tanaka, Hideo, 1990. "Multiobjective programming in optimization of the interval objective function," European Journal of Operational Research, Elsevier, vol. 48(2), pages 219-225, September.
    4. Kumar Maiti, Manas, 2011. "A fuzzy genetic algorithm with varying population size to solve an inventory model with credit-linked promotional demand in an imprecise planning horizon," European Journal of Operational Research, Elsevier, vol. 213(1), pages 96-106, August.
    5. Jiang, C. & Han, X. & Liu, G.R. & Liu, G.P., 2008. "A nonlinear interval number programming method for uncertain optimization problems," European Journal of Operational Research, Elsevier, vol. 188(1), pages 1-13, July.
    6. Roy, T.K. & Maiti, M., 1997. "A fuzzy EOQ model with demand-dependent unit cost under limited storage capacity," European Journal of Operational Research, Elsevier, vol. 99(2), pages 425-432, June.
    7. Vujosevic, Mirko & Petrovic, Dobrila & Petrovic, Radivoj, 1996. "EOQ formula when inventory cost is fuzzy," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 499-504, August.
    8. Abuo-El-Ata, M. O. & Fergany, Hala A. & El-Wakeel, Mona F., 2003. "Probabilistic multi-item inventory model with varying order cost under two restrictions: A geometric programming approach," International Journal of Production Economics, Elsevier, vol. 83(3), pages 223-231, March.
    9. Deshpande, Paras & Shukla, Deepak & Tiwari, M.K., 2011. "Fuzzy goal programming for inventory management: A bacterial foraging approach," European Journal of Operational Research, Elsevier, vol. 212(2), pages 325-336, July.
    10. Yu-Shen Zheng, 1994. "Optimal Control Policy for Stochastic Inventory Systems with Markovian Discount Opportunities," Operations Research, INFORMS, vol. 42(4), pages 721-738, August.
    11. Hariga, Moncer & Ben-Daya, Mohamed, 1999. "Some stochastic inventory models with deterministic variable lead time," European Journal of Operational Research, Elsevier, vol. 113(1), pages 42-51, February.
    12. Teghem, J. & Dufrane, D. & Thauvoye, M. & Kunsch, P., 1986. "Strange: An interactive method for multi-objective linear programming under uncertainty," European Journal of Operational Research, Elsevier, vol. 26(1), pages 65-82, July.
    13. Abdelaziz, Fouad Ben, 2012. "Solution approaches for the multiobjective stochastic programming," European Journal of Operational Research, Elsevier, vol. 216(1), pages 1-16.
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    Cited by:

    1. Mandeep Mittal & Vibhor Jain & Jayanti Tripathi Pandey & Muskan Jain & Himani Dem, 2023. "Optimizing Inventory Management: A Comprehensive Analysis of Models Integrating Diverse Fuzzy Demand Functions," Mathematics, MDPI, vol. 12(1), pages 1-18, December.
    2. Ouyang, Yao & Pedrycz, Witold, 2016. "A new model for intuitionistic fuzzy multi-attributes decision making," European Journal of Operational Research, Elsevier, vol. 249(2), pages 677-682.
    3. Irfan Ali & Srikant Gupta & Aquil Ahmed, 2019. "Multi-objective linear fractional inventory problem under intuitionistic fuzzy environment," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(2), pages 173-189, April.
    4. Javad Sadeghi & Seyed Taghi Akhavan Niaki & Mohammad Reza Malekian & Saeid Sadeghi, 2016. "Optimising multi-item economic production quantity model with trapezoidal fuzzy demand and backordering: two tuned meta-heuristics," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 10(2), pages 170-195.
    5. Lidia Vesa & Marcel Ioan Boloş & Claudia Diana Sabău-Popa, 2021. "Inventory Decision In Vuca World Using Economic Logic Quantity," Annals of Faculty of Economics, University of Oradea, Faculty of Economics, vol. 1(1), pages 251-267, July.

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